Mar. 2023

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Chinese Optics> 2023> 16(2): 434-446.

WANG Qiang, WANG Qian-qian, WANG Zhen, HAO Li-li. Theoretical investigation on super-resolution refractive index measurement with parity detection[J]. Chinese Optics, 2023, 16(2): 434-446. doi: 10.37188/CO.2022-0119

Citation:

WANG Qiang, WANG Qian-qian, WANG Zhen, HAO Li-li. Theoretical investigation on super-resolution refractive index measurement with parity detection[J].Chinese Optics, 2023, 16(2): 434-446.doi:10.37188/CO.2022-0119

Citation:

WANG Qiang, WANG Qian-qian, WANG Zhen, HAO Li-li. Theoretical investigation on super-resolution refractive index measurement with parity detection[J].Chinese Optics, 2023, 16(2): 434-446.doi:10.37188/CO.2022-0119

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Theoretical investigation on super-resolution refractive index measurement with parity detection

doi:10.37188/CO.2022-0119

School of Physics and Electronic Engineering, Northeast Petroleum University, Daqing 163318, China

Funds:Supported by Guiding Innovation Fund of Northeast Petroleum University (No. 2021YDL-16); Heilongjiang Province Education Planning Key Project (No. GJB1320038 , No. GJB1422173); The Education Teaching Reform Project of Northeast Petroleum University (No. JGXM_NEPU_202114)

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Author Bio:
Wang Qiang (1980—), male, born in Baiquan, Heilongjiang Province, Ph.D., associate professor, master student supervisor. In 2006 and 2016, he obtained master degree and Ph.D. degree from Harbin Institute of Technology, respectively. He is currently engaged in research on quantum interference metrology and sensing, quantum lidar, etc. E-mail:wangqiang8035@163.com
Hao Li-li (1981—), female, born in Suihua, Heilongjiang Province, Ph.D., associate professor, master student supervisor. She received her master degree and Ph.D. degree from Harbin Institute of Technology in 2007 and 2015 respectively, mainly engaged in the research of quantum optics, spatial optical solitons and optical control devices. E-mail:haolili0820@126.com
Corresponding author:haolili0820@126.com
Received Date:10 Jun 2022
Rev Recd Date:13 Jul 2022

Available Online:28 Sep 2022

Abstract

Abstract

The refractive index measurements based on traditional wave optical methods are mainly depended on intensity and wavelength detection strategies. Interference spectrometers are widely used as the most ideal wavelength detecting devices. Interference spectrometers measure the signal intensity, analyze the change of fringe numbers and the corresponding optical path difference by means of optical power meter, and then calculate the wavelength of signal light. Therefore, its essence is still based on intensity detection. However, the resolution of interference signal in intensity detection is restricted by classical diffraction limit, thus its resolution is difficult to further improve. In order to solve this bottleneck, parity detection which could break through the classical resolution limit and realize super-resolution refractive index measurement is proposed in this paper. According to the quantum detection and estimation theory, the expressions for signals and their corresponding sensitivities of refractive index measurement with parity and intensity detections were derived respectively and their numerical comparison analysis was carried out. In addition, the effects of loss on resolution and sensitivity of the output signal were investigated. Numerical results show that the resolution of parity detection is ${\text{2{\text{π}}}}\sqrt N$ times that of intensity detection, achieving super-resolution refractive index measurement. Moreover, the optimal sensitivity reaches the refractive index measurement shot noise limit ${\lambda \mathord{\left/ {\vphantom {\lambda {\left( {2{\text{π}} l\sqrt N } \right)}}} \right. } {\left( {2{\text{π}} l\sqrt N } \right)}}$ . The loss reduces the sensitivity and resolution of the signal. The resolution of the parity detection signal is consistently better than that of intensity detection except for the very large loss and very low photon number. Finally, the physical essence of the super-resolution refractive index measurement is analyzed from the detection means itself.
- refractive index measurement,
- parity detection,
- diffractive limit,
- super-resolution

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References (24)

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